Exploring Geometric Transformations

• Reflection over the x-axis

• Reflection over the y-axis

• Rotation 180 degrees about the origin

• Translation 6 units left

Two triangles are congruent. Which sequence of transformations could map one triangle onto the other?

• A dilation followed by a translation

• A reflection followed by a rotation

• A translation followed by a dilation

• A dilation followed by a reflection

A rectangle is similar to another rectangle. Which of the following transformations could map the first rectangle onto the second?

• A rotation followed by a reflection

• A translation followed by a dilation

• A reflection followed by a translation

• A rotation followed by a translation

• Reflection over the x-axis

• Reflection over the y-axis

• Rotation 90 degrees clockwise about the origin

• Translation 4 units up

Two quadrilaterals are congruent. Which of the following sequences of transformations could map one onto the other?

• A dilation followed by a reflection

• A translation followed by a rotation

• A reflection followed by a dilation

• A rotation followed by a dilation

A square is similar to another square. Which sequence of transformations could map the first square onto the second?

• A reflection followed by a rotation

• A dilation followed by a translation

• A translation followed by a reflection

• A rotation followed by a reflection

• Reflection over the x-axis

• Reflection over the y-axis

• Rotation 180 degrees about the origin

• Translation 8 units right